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The Parker-Sochacki method is a new technique for the numerical integration of differential equations applicable to many neuronal models.
We want to emphasise this inherent slow fast time-scale structure found in many neuronal models and use geometric singular perturbation theory (GSPT) [12, 13] as a mathematical framework.
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Unlike the models that we have considered, many other neuronal models have two- or higher-dimensional intrinsic dynamics.
These basic assumptions hold for many two-dimensional neuronal models including the canonical system (1).
A wide variety of biophysical models are of the types that are potentially affected by the problems we have discussed in this article, including HH-type neuronal models and many models of intracellular calcium dynamics.
Harris, J. A. et al. Many neuronal and behavioral impairments in transgenic mouse models of Alzheimer's disease are independent of caspase cleavage of the amyloid precursor protein.
Owing to many limitations of animal disease models, in vitro neuronal models using patient-derived stem cells are currently being developed.
The understanding that many neuronal functional properties are the result of complex interactions within large populations of neurons leads to the development and analysis of large network models.
Neuronal models of REM sleep control: evolving concepts.
NEURONAL cell death is a conspicuous part of development for many neuronal populations in the vertebrate nervous system1,2.
Neuronal activity can also be verified by using realistic circuits mapped from the theoretical neuronal models.
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